Cartan geometries are structures on manifolds which are infinitesimally modelled on homogeneous spaces. For example, Riemannian structures are infinitesimally modelled by the euclidean space. The classical theory deals with "transitive" Cartan geometries, where the infinitesimal model is the...

In this talk we will see how to associate to a geometric structure a Lie algebroid morphism. Moreover, we will study deformations of Lie algebroid morphisms and define a deformation complex controlling such deformations. To conclude, we will apply this abstract formalism to study...

TBA...